Exponential decay for a system of equations with distributed delays

Nasser Eddine Tatar

doi:10.1155/2015/981383

Exponential decay for a system of equations with distributed delays

Nasser Eddine Tatar^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

We prove convergence of solutions to zero in an exponential manner for a system of ordinary differential equations. The feature of this work is that it deals with nonlinear non-Lipschitz and unbounded distributed delay terms involving non-Lipschitz and unbounded activation functions.

Original language	English
Article number	981383
Journal	Journal of Applied Mathematics
Volume	2015
DOIs	https://doi.org/10.1155/2015/981383
State	Published - 2015

Bibliographical note

Publisher Copyright:
© 2015 Nasser-Eddine Tatar.

ASJC Scopus subject areas

Applied Mathematics

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10.1155/2015/981383

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title = "Exponential decay for a system of equations with distributed delays",

abstract = "We prove convergence of solutions to zero in an exponential manner for a system of ordinary differential equations. The feature of this work is that it deals with nonlinear non-Lipschitz and unbounded distributed delay terms involving non-Lipschitz and unbounded activation functions.",

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journal = "Journal of Applied Mathematics",

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AB - We prove convergence of solutions to zero in an exponential manner for a system of ordinary differential equations. The feature of this work is that it deals with nonlinear non-Lipschitz and unbounded distributed delay terms involving non-Lipschitz and unbounded activation functions.

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Exponential decay for a system of equations with distributed delays

Abstract

Bibliographical note

ASJC Scopus subject areas

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Cite this